I've been beating around the bush for a long time, ever since I've been in StackExchange. Now, I really must come to the point. I have a link here that you people can see (go to about the end of the eighth page)
Given a value for $p$, how will you generate the sequence, moreover, what will the $n$th element in the set be?
Edit Perhaps I should've written this before, never mind... I meant to say, how do I go about generating a unique-sum set with $p$ elements, as the few examples on page 9 (i.e. following part 2.3) show, and when done so, how would I know what the $n$th element in that set would be, considering I won't be looking over the entire thing once I'm done generating the set?